In the following questions, a question is followed by data in the form of two statements labelled as I and II. You must decide whether the data given in the statements are sufficient to answer the questions.
What is the difference between two two-digit numbers?
I) The square of the first number is 16 times the second number
II) The ratio of the first number to the second number is 4 : 5
Does the equation $$ax + by + c = 0$$ represent a striaght line ?
I) $$a^{2} \geq 0$$
II) $$b^{2} \geq 0$$
If n is a positive integer, then what is the largest positive integer k such that $$10^{k}$$ divides
n?
I) $$2^{5}$$ divides n
II) $$5^{2}$$ divides n
What are the four consecutive terms of the arithematic progression with positive common difference?
I) Sum of the four consecutive terms is 24
II) Product of the second and third terms is 8 more than the product of the first and the fourth terms
What is that month of a leap year?
I) That month starts with monday and ends with tuesday.
II) That month starts with Monday and ends with Monday.
What is the determinant of the matrix A?
I) A is a 3 X 3 matrix
II) 6 elements in the matrix A are zero
What is the area of the rhombus?
I) Three vertices of the rhombus lie on the circumfrence of a circle and the fourth lies at the center of that circle whose radius is 4 cm.
II) one of the diagonal of the rhombus is $$2\sqrt{3}$$ cm
A natural number with a given specified property S is chosen at random from 1 to 100. Is the number chosen a prime number?
I) The probability of choosing that number is $$\frac{1}{4}$$
II) There are 25 prime numbers between 1 and 100
What are the three numbers $$x$$, y and z?
I) The numbers $$x$$, y, z are in the ratio 2 : 3 : 5
II) $$x^{2} + y^{2} + z^{2} = 152$$
A takes less than 2 hours for his journey from home to office. Is his average speed greater than 60 km/hr?
I) The distance from his home to office is less than 125 km
II) The distance from his home to office is greater than 122 km